It is shown that the difference in the momentum distributions of positively (\mu ⁺, e⁺) and negatively (\mu ^-, e^-) charged leptons in the reactions of type \gamma \gamma \to \mu ⁺\mu ^- + N\nu , \gamma \gamma \to W^\pm \mu ^\mp + N\nu at \sqrt {s}> 200 GeV with polarized photons demonstrates a considerable {ITALIC charge asymmetry} of muon distributions, sensitive to New Physics effects. Contribution of processes with intermediate \tau -lepton in \gamma \gamma \to W^\pm \mu ^\mp + N\nu is taken into account.

PACS numbers: 12.15.Ji, 12.60.--i, 14,70.--e